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Dergiler / Turkish Journal of Mathematics / 2020 / Cilt: 44 - Sayı: 4

Gradient Weyl-Ricci Soliton

Erol KILIÇ, Cornelia-Livia BEJAN, Şemsi EKEN MERİÇ

Sayfa
1137–1145
DOI
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Abstract

The classical notion of gradient Ricci soliton is extended here to the gradient Weyl-Ricci soliton. A Weylstructure of the base manifold M is lifted to its tangent bundle TM , by using the Sasaki metric. We give some necessaryand sufficient conditions such that the Weyl structure on TM to be a gradient Weyl-Ricci soliton.